Question

Explain how you can find the volume of the figure below. Then, solve- what is the volume of the figure? Make sure to include your units

Answer 1

Answer: a) The figure can be reasonably divided into two geometries:

• a rectangular prism

• a hemisphere.

b) The volume of the rectangular prism is given by

V = lwh

V = (10 cm)(5 cm)(4 cm) = 200 cm³

The volume of the hemisphere is given by

V = (2π/3)r³

V = (2π/3)(3 cm)³ = 18π cm³

c) The total volume of the figure is

total volume = (prism volume) + (hemisphere volume)

V = 200 cm³ + 18π cm³

V ≈ 256.549 cm³

Explanation: